Andrew Baker

Magic Labelings on Cycles and Wheels (2009)

Andrew Baker, Joe Sawada

Abstract. We present efficient algorithms to generate all edge-magic and vertex-magic total labelings on cycles, and all vertex-magic total labelings on wheels. Using these algorithms, we extend the...

Contents Bibliography 5 (2009)

Andrew Baker

1.1. Fields of scalars 1 1.2. Vector spaces and subspaces 3

BRAVE NEW BOCKSTEIN OPERATIONS (2009)

Andrew Baker, Alain Jeanneret

The picture of the stable homotopy category dramatically changed after the publication of [2] and improvements in [5]. These new technics lead to an easy and conceptual definition of the Bockstein...

Increasing the Number of Underrepresented Minorities in Astronomy: Executive Summary (2009)

Norman, Dara, Agueros, Marcel, Anderson, Scott F., Baker, Andrew, ...

Promoting racial and ethnic diversity is critically important to the future success and growth of the field of astronomy. The raw ability, drive and interest required to excel in the field is...

Increasing the Number of Underrepresented Minorities in Astronomy at the Undergraduate, Graduate, and Postdoctoral Levels (Paper I) (2009)

Norman, Dara, Agueros, Marcel, Anderson, Scott F., Baker, Andrew, ...

If the ethnic makeup of the astronomy profession is to achieve parity with the general population within one generation (~30 years), the number of underrepresented minorities earning graduate degrees...

Increasing the Number of Underrepresented Minorities in Astronomy Through K-12 Education and Public Outreach (Paper II) (2009)

Norman, Dara, Agueros, Marcel, Anderson, Scott F., Baker, Andrew, ...

In order to attract, recruit and retain underrepresented minority students to pursue Astronomy and related fields, we must ensure that there continues to be a well qualified pool of graduate and...

$L$-complete Hopf algebroids and their comodules (2009)

Baker, Andrew

We investigate Hopf algebroids in the category of $L$-complete modules over a commutative Noetherian regular complete local ring. The main examples are provided by the Hopf algebroids associated to...

ON THE HOMOLOGY OF REGULAR QUOTIENTS (2008)

Andrew Baker

Abstract. We construct a free resolution of R/I s over R where I ⊳ R is generated by a (finite or infinite) regular sequence. This generalizes the Koszul complex for the case s = 1. For s> 1, we...

Vertex operators in algebraic topology (2008)

Andrew Baker

Version 24 (14/04/1998) This paper is intended for two rather different audiences. First we aim to provide algebraic topologists with a timely introduction to some of the algebraic ideas

NOTES ON TOPOLOGICAL ANDRÉ-QUILLEN HOMOLOGY FOR CELLULAR COMMUTATIVE S-ALGEBRAS (2008)

Andrew Baker, Helen Gilmour

These notes contain a brief account of some basic results on topological André-Quillen homology and cohomology for CW commutative A-algebras, where A is a commutative S-algebra. The main goal is to...

[23/01/2004] (2008)

Andrew Baker, Peter May

[Pr] S. Priddy, A cellular construction of BP and other irreducible

§1 Introduction CONTINUOUS MORAVA K-THEORY AND THE GEOMETRY OF THE In-ADIC TOWER (2008)

Andrew Baker, John Hunton

This article concerns completed cohomology theories and the topology of the

[03/02/2004] (2008)

Andrew Baker, A. D. Elmendorf, I. Kriz, J. P. May

and algebras in stable homotopy theory, Mathematical Surveys and

Isogenies of supersingular elliptic curves over finite fields and operations in elliptic cohomology (2007)

Baker, Andrew

We investigate stable operations in supersingular elliptic cohomology using isogenies of supersingular elliptic curves over finite fields. Our main results provide a framework in which we give a...

ON THE ADAMS E 2 E 2 E 2-TERM FOR ELLIPTIC COHOMOLOGY (2007)

Andrew Baker

Although the main driving force behind the development of elliptic cohomology undoubtedly lies in its geometric significance, it also has considerable interest to algebraic topologists. Versions of...

Abstract. We construct a free resolution of R=I (2007)

Andrew Baker

over R where I / R is generated by a ( nite or innite) regular sequence. This generalizes the Koszul complex for the case s = 1. We easily deduce that for s> 1, the algebra structure of Tor R

b (2007)

Andrew Baker, Andrej Lazarev

Abstract. We consider the Adams Spectral Sequence for R-modules based on commutative localized regular quotient ring spectra of a commutative S-algebra R in the sense of Elmendorf, Kriz, Mandell, May...

On The Adams E_2-Term for Elliptic Cohomology (2007)

Andrew Baker

. We investigate the E2-term of Adams spectral sequence based on elliptic homology. The main results describe this E2-term from a `chromatic' perspective. At a prime p ? 3, the Bousfield class...

Differential Equations In Divided Power Algebras, Recurrence Relations And Formal Groups (2007)

Andrew Baker

Introduction These notes are intended to provide an account of the study of certain classes of differential equations in divided power algebras over commutative rings with unity. As a particular...

Operations and Cooperations in Elliptic Cohomology, Part I: Generalized modular forms and the cooperation algebra (2007)

Andrew Baker

. This is the first of two interconnected parts: Part I contains the geometric theory of generalized modular forms and their connections with the cooperation algebra for elliptic cohomology, E"...

Msp Localized away from 2 and Odd Formal Group Laws (2007)

Andrew Baker, Jack Morava

. We investigate the relationship between complex and symplectic cobordism localized away from the prime 2 and show that these theories are related much as a real Lie group is related to its...

Continuous Morava K-Theory And The Geometry Of The I_n-Adic Tower (2007)

Andrew Baker, John Hunton

This article concerns completed cohomology theories and the topology of the spaces which represent them. Our principal interest is in those given by the Johnson-Wilson spectra E(n) [10] and their I n...

Invariants for Finite Dimensional Groups in Vertex Operator Algebras Associated to Basic Representations of Affine Algebras (2007)

Andrew Baker, Hirotaka Tamanoi

. We investigate the invariant vertex operator subalgebras of the vertex operator algebras associated with the A ; D ; E series of simply laced root lattices and the related affine algebras. We also...

Hecke Operations And The Adams E (2007)

Term Based On, Andrew Baker

. Hecke operators are used to investigate part of the E2-term of the Adams spectral sequence based on elliptic homology. The main result is a derivation of Ext 1 which combines use of classical Hecke...

Elliptic Cohomology, p-Adic Modular Forms And Atkin's Operator (2007)

Andrew Baker, Ell Y, Gamma G

We construct a p-adic version of Elliptic Cohomology whose coefficient ring agrees with Serre's ring of p-adic modular forms. We then construct a stable operation b U p in this theory agreeing...

Right Eigenvalues For Quaternionic Matrices: A Topological Approach (2007)

Andrew Baker

. We apply the Lefschetz Fixed Point Theorem to show that every square matrix over the quaternions has right eigenvalues. We classify them and discuss some of their properties such as an analogue of...

Profinite Groupoids and Their Cohomology (2007)

Andrew Baker

. We define a notion of profinite groupoid and a suitable class of modules over these. We describe two functors which in the case of a connected profinite groupoid agree; the derived functors of...

On the Cohomology of Some Hopf Algebroids and Hattori-Stong Theorems (2007)

Andrew Baker

. We consider the structure and cohomology of K(n) BP as a K(n) K(n)-comodule algebra, recovering some recent results of Hovey & Sadofsky. We apply these to determine the Chromatic Spectral...

n-Local Johnson-Wilson Spectra And Their Hopf Algebroids (2007)

Andrew Baker

. We consider a generalization of the Johnson--Wilson spectrum E(n) for which E(n) is a local ring with maximal ideal In . In particular we prove that the spectra E(n), E(n) and [ E(n) are Bousfield...

Some Chromatic Phenomena In The Homotopy Of (2007)

Andrew Bak Er, Andrew Baker

this paper, we derive formulae in Brown-Peterson homology at the prime 2 related to the family of elements ' n 2 MSp 8n\Gamma3 of N. Ray, whose central role in the structure of MSp has been...

Profinite Groupoids and Their Cohomology (2007)

Andrew Baker

. We define a notion of profinite groupoid and a suitable class of modules over these. We describe two functors which in the case of a connected profinite groupoid agree; the derived functors of...

Andrew Baker Hirotaka Tamanoi (2007)

Andrew Baker, Hirotaka Tamanoi

Introduction. Vertex operator algebras have been the focus of considerable attention from various viewpoints and for numerous reasons relating to their appearance in diverse parts of mathematics....

Hecke Operations And The Adams ...-Term Based On Elliptic Cohomology (2007)

Andrew Baker

. Hecke operators are used to investigate part of the E 2 -term of the Adams spectral sequence based on elliptic homology. The main result is a derivation of Ext 1 which combines use of classical...

CLASSIFYING SPACES, VIRASORO EQUIVARIANT BUNDLES, ELLIPTIC COHOMOLOGY AND MOONSHINE (2007)

Andrew Baker, Charles Thomas

This work explores some connections between the elliptic cohomology of classifying spaces for finite groups, Virasoro equivariant bundles over their loop spaces and Moonshine for finite groups. Our...

SOME CHROMATIC PHENOMENA IN THE HOMOTOPY OF MSp (2007)

Andrew Baker

In this paper, we derive formulæ in Brown-Peterson homology at the prime 2 related to the family of elements ϕn ∈ MSp 8n−3 of N. Ray, whose central rôle in the structure of MSp has been...

DIFFERENTIAL EQUATIONS IN DIVIDED POWER ALGEBRAS, RECURRENCE RELATIONS AND FORMAL GROUPS (2007)

Andrew Baker

These notes are intended to provide an account of the study of certain classes of differential equations in divided power algebras over commutative rings with unity. As a particular example, we have...

SOME CALCULATIONS WITH MILNOR HYPERSURFACES AND AN APPLICATION TO GINZBURG’S SYMPLECTIC BORDISM RING [Version 21: 6/1/2001] (2007)

Andrew Baker

In this note we present some formulæ in complex bordism associated to Milnor hypersurfaces which we then apply to prove the surjectivity of a certain homomorphism

RIGHT EIGENVALUES FOR QUATERNIONIC MATRICES: A TOPOLOGICAL APPROACH (2007)

Andrew Baker

Abstract. We apply the Lefschetz Fixed Point Theorem to show that every square matrix over the quaternions has right eigenvalues. We classify them and discuss some of their properties such as an...

A VERSION OF LANDWEBER’S FILTRATION THEOREM FOR v�-PERIODIC HOPF ALGEBROIDS (2007)

Andrew Baker

In the theory of comodules over the Hopf algebroids MU∗(MU) and BP ∗(BP), a major result is Peter Landweber’s Filtration Theorem and its important corollary, the Exact Functor Theorem [7]. A...

CHAIN COMPLEXES [1/11/2001] (2007)

Andrew Baker

1. Chain complexes and their homology Let R be a ring and ModR the category of right R-modules. Then a sequence of R-module homomorphisms L f − → M g − → N

I�-LOCAL JOHNSON-WILSON SPECTRA AND THEIR HOPF ALGEBROIDS (2007)

Andrew Baker

We consider a generalization of the Johnson-Wilson spectrum E(n) for which is a local ring with maximal ideal In . We prove that the spectra E(n), E(n) are Bousfield equivalent. We also show that the...

Brave new Hopf algebroids and the Adams spectral sequence for R-modules (2007)

Andrew Baker

this document, we became aware of recent work of A. Lazarev [6] in which similar algebra plays a part, see also [4]. Let R be a commutative S-algebra in the sense of [5] and E a commutative R-ring...

MSP LOCALIZED AWAY FROM 2 AND ODD FORMAL GROUP LAWS (2007)

Andrew Baker, Jack Morava

We investigate the relationship between complex and symplectic cobordism localized away from the prime 2 and show that these theories are related much as a real Lie group is related to its...

PROFINITE GROUPOIDS AND THEIR COHOMOLOGY (2007)

Andrew Baker

We define a notion of profinite groupoid and a suitable class of modules over these. We describe two functors which in the case of a connected profinite groupoid agree; the derived functors of these...

Galois extensions of Lubin-Tate spectra (2007)

Baker, Andrew, Richter, Birgit

Let E_n be the n-th Lubin-Tate spectrum at a prime p. There is a commutative S-algebra E^{nr}_n whose coefficients are built from the coefficients of E_n and contain all roots of unity whose order is...

Topological Andr\'e-Quillen homology for cellular commutative $S$-algebras (2007)

Baker, Andrew, Gilmour, Helen, Reinhard, Philipp

Topological Andr\'e-Quillen homology for commutative $S$-algebras was introduced by Basterra following work of Kriz, and has been intensively studied by several authors. In this paper we discuss it...

The Reflective Online Searching Skills (ROSS) Environment: embedding information literacy into student learning through an online environment (2007)

Partridge, Helen L., Edwards, Sylvia L., Baker, Andrew, McAllister, Lynn M.

The Reflective Online Searching Skills (ROSS) Environment is an e-learning tool that fosters the development of student skill and knowledge in online searching. It was developed with the support of...

The Reflective Online Searching Skills (ROSS) Environment: embedding information literacy into student learning through an online environment (2007)

Partridge, Helen L., Edwards, Sylvia L., Baker, Andrew, McAllister, Lynn M.

The Reflective Online Searching Skills (ROSS) Environment is an e-learning tool that fosters the development of student skill and knowledge in online searching. It was developed with the support of...

The Reflective Online Searching Skills (ROSS) Environment: embedding information literacy into student learning through an online environment (2007)

Partridge, Helen L., Edwards, Sylvia L., Baker, Andrew, McAllister, Lynn M.

The Reflective Online Searching Skills (ROSS) Environment is an e-learning tool that fosters the development of student skill and knowledge in online searching. It was developed with the support of...

The Reflective Online Searching Skills (ROSS) Environment: embedding information literacy into student learning through an online environment (2007)

Partridge, Helen L., Edwards, Sylvia L., Baker, Andrew, McAllister, Lynn M.

The Reflective Online Searching Skills (ROSS) Environment is an e-learning tool that fosters the development of student skill and knowledge in online searching. It was developed with the support of...

The Reflective Online Searching Skills (ROSS) Environment: embedding information literacy into student learning through an online environment (2007)

Partridge, Helen L., Edwards, Sylvia L., Baker, Andrew, McAllister, Lynn M.

The Reflective Online Searching Skills (ROSS) Environment is an e-learning tool that fosters the development of student skill and knowledge in online searching. It was developed with the support of...

The Reflective Online Searching Skills (ROSS) Environment: embedding information literacy into student learning through an online environment (2007)

Partridge, Helen L., Edwards, Sylvia L., Baker, Andrew, McAllister, Lynn M.

The Reflective Online Searching Skills (ROSS) Environment is an e-learning tool that fosters the development of student skill and knowledge in online searching. It was developed with the support of...

The Reflective Online Searching Skills (ROSS) Environment: embedding information literacy into student learning through an online environment (2007)

Partridge, Helen L., Edwards, Sylvia L., Baker, Andrew, McAllister, Lynn M.

The Reflective Online Searching Skills (ROSS) Environment is an e-learning tool that fosters the development of student skill and knowledge in online searching. It was developed with the support of...

The Reflective Online Searching Skills (ROSS) Environment: embedding information literacy into student learning through an online environment (2007)

Partridge, Helen L., Edwards, Sylvia L., Baker, Andrew, McAllister, Lynn M.

The Reflective Online Searching Skills (ROSS) Environment is an e-learning tool that fosters the development of student skill and knowledge in online searching. It was developed with the support of...

The Reflective Online Searching Skills (ROSS) Environment: embedding information literacy into student learning through an online environment (2007)

Partridge, Helen L., Edwards, Sylvia L., Baker, Andrew, McAllister, Lynn M.

The Reflective Online Searching Skills (ROSS) Environment is an e-learning tool that fosters the development of student skill and knowledge in online searching. It was developed with the support of...

Quasisymmetric functions from a topological point of view (2006)

Baker, Andrew, Richter, Birgit

It is well-known that the homology of the classifying space of the unitary group is isomorphic to the ring of symmetric functions, Symm. We offer the cohomology of the loop space of the suspension of...

On the cooperation algebra of the connective Adams summand (2005)

Baker, Andrew, Richter, Birgit

The aim of this paper is to gain explicit information about the multiplicative structure of l_*l, where l is the connective Adams summand. Our approach differs from Kane's or Lellmann's because our...

Uniqueness of $E_\infty$ structures for connective covers (2005)

Baker, Andrew, Richter, Birgit

We refine our earlier work on the existence and uniqueness of E-infinity structures on K-theoretic spectra to show that at each prime p, the connective Adams summand has an essentially unique...

Loss or inhibition of uPA or MMP-9 attenuates LV remodeling and dysfunction after acute pressure overload in mice (2005)

Lupu, Florea, Herbert, Jean-Marc, Baker, Andrew, ...

Left ventricular (LV) hypertrophy is a natural response of the heart to increased pressure loading, but accompanying fibrosis and dilatation may result in irreversible life-threatening heart failure....

When the Engines No Longer Roar: A Case Study of North Wilkesboro, NC and the North Wilkesboro Speedway (2005)

Baker, Andrew

Over the last fifty years, the sport of NASCAR has become nationalized, leaving behind the small, Carolina towns where much of the lore and origins of stock car racing began. In 1996, the stock car...

When the Engines No Longer Roar: A Case Study of North Wilkesboro, NC and the North Wilkesboro Speedway (2005)

Baker, Andrew

Over the last fifty years, the sport of NASCAR has become nationalized, leaving behind the small, Carolina towns where much of the lore and origins of stock car racing began. In 1996, the stock car...

GAL4-GFP enhancer trap lines for genetic manipulation of lateral root development in Arabidopsis thaliana (2005)

Laplaze, Laurent, Parizot, Boris, Baker, Andrew, Ricaud, Lilian, Martinière, Alexandre, Auguy, Florence, ...

Lateral root development occurs throughout the life of the plant and is responsible for the plasticity of the root system. In Arabidopsis thaliana, lateral root founder cells originate from pericycle...

GAL4-GFP enhancer trap lines for genetic manipulation of lateral root development in Arabidopsis thaliana (2005)

Laplaze, Laurent, Parizot, Boris, Baker, Andrew, Ricaud, Lilian, Martinière, Alexandre, Auguy, Florence, ...

Lateral root development occurs throughout the life of the plant and is responsible for the plasticity of the root system. In Arabidopsis thaliana, lateral root founder cells originate from pericycle...

Anglo-Irish Relations, 1939-41: A Study in Multilateral Diplomacy and Military Restraint (2005)

Baker, Andrew

‘This study bridges two gaps, one in the historiography of Anglo-Irish relations between 1939 and 1941 and the other in International Relations (IR) theory. Anglo-Irish relations during the Second...

Anglo-Irish Relations, 1939-41: A Study in Multilateral Diplomacy and Military Restraint (2005)

Baker, Andrew

‘This study bridges two gaps, one in the historiography of Anglo-Irish relations between 1939 and 1941 and the other in International Relations (IR) theory. Anglo-Irish relations during the Second...

GAL4-GFP enhancer trap lines for genetic manipulation of lateral root development in Arabidopsis thaliana (2005)

Laplaze, Laurent, Parizot, Boris, Baker, Andrew, Ricaud, Lilian, Martinière, Alexandre, Auguy, Florence, ...

Lateral root development occurs throughout the life of the plant and is responsible for the plasticity of the root system. In Arabidopsis thaliana, lateral root founder cells originate from pericycle...

Realizability of algebraic Galois extensions by strictly commutative ring spectra (2004)

Baker, Andrew, Richter, Birgit

We discuss some of the basic ideas of Galois theory for commutative S-algebras originally formulated by John Rognes. We restrict attention to the case of finite Galois groups and to global Galois...

Invertible modules for commutative $\mathbb{S}$-algebras with residue fields (2004)

Baker, Andrew, Richter, Birgit

The aim of this note is to understand under which conditions invertible modules over a commutative S-algebra in the sense of Elmendorf, Kriz, Mandell and May give rise to elements in the algebraic...

$\Gamma$-cohomology of rings of numerical polynomials and $E_\infty$ structures on K-theory (2003)

Baker, Andrew, Richter, Birgit

We investigate Gamma-cohomology of some commutative cooperation algebras E_*E associated with certain periodic cohomology theories. For KU and E(1), the Adams summand at a prime p, and for KO we show...

Stable Operations in Elliptic Cohomology (2003)

Andrew Baker

assigning to each supersingular , its Tate module , which is a free topological W(k)-module of rank 2 and also a module over the Dieudonne algebra D k = W(k) #F, V# , FV = VF = p, Fa = a F, aV = Va...

Topological Hochschild cohomology and generalized Morita equivalence (2002)

Baker, Andrew, Lazarev, Andrey

We explore two constructions in homotopy category with algebraic precursors in the theory of noncommutative rings and homological algebra, namely the Hochschild cohomology of ring spectra and Morita...

Brave new Hopf algebroids and extensions of {$M$}U-algebras (2002)

Baker, Andrew, Jeanneret, Alain

We apply recent work of A.~Lazarev which develops an obstruction theory for the existence of $R$-algebra structures on $R$-modules, where $R$ is a commutative $S$-algebra. We show that certain...

On the Adams Spectral Sequence for R-modules (2001)

Baker, Andrew, Lazarev, Andrey

We discuss the Adams Spectral Sequence for R-modules based on commutative localized regular quotient ring spectra over a commutative S-algebra R in the sense of Elmendorf, Kriz, Mandell, May and...

Elliptic Genera Of Level N And Elliptic Cohomology (2001)

Andrew Baker

Elliptic genera of level N have been defined by F. Hirzebruch, generalising the earlier notion of elliptic genus due to S. Ochanine. We show that there are corresponding elliptic cohomology theories...

On the cohomology of some Hopf algebroids and Hattori-Stong theorems (2000)

Baker, Andrew

We apply group cohomological methods to calculate the cohomology of $\Kn_*\BP$ as a $\Kn_*\Kn$-comodule, recovering recent results of Hovey and Sadofsky. As applications we determine the Chromatic...

On the Cohomology of Some Hopf Algebroids and Hattori-Stong Theorems (2000)

Andrew Baker

We apply group cohomological methods to calculate the cohomology of K(n) BP as a K(n) K(n)-comodule, recovering recent results of Hovey and Sadofsky. As applications we determine the Chromatic...

Brave New Hopf Algebroids And The Adams Spectral Sequence For R-Modules (2000)

Andrew Baker

this document, we became aware of recent work of A. Lazarev [6] in which similar algebra plays a part, see also [4]. Let R be a commutative S-algebra in the sense of [5] and E a commutative R-ring...

Bockstein Operations In Morava K-Theories (2000)

Andrew Baker, Urs Würgler

this paper we give a construction for families of operations reminiscent of the classical Bockstein operations in ordinary mod p cohomology which is related both to the formal group theoretic...

Signatures Magazine: RIT's journal of art and literature 1998-1999 (1999)

Hanna, Katie, Bains, Himani, Shaw, Lindsay, Mackenzie, Graham, Diffenderfer, Bob, Hill, James, ...

Signatures Magazine is an RIT student publication, featuring student works of art and literature.Issued annually each spring. Editorial Board: Graham Arthur Mackenzie, Antonio Maria D. Chiarenza

Signatures Magazine: RIT's journal of art and literature 1998-1999 (1999)

Hanna, Katie, Bains, Himani, Shaw, Lindsay, Mackenzie, Graham, Diffenderfer, Bob, Hill, James, ...

Signatures Magazine is an RIT student publication, featuring student works of art and literature.Issued annually each spring. Editorial Board: Graham Arthur Mackenzie, Antonio Maria D. Chiarenza

Signatures Magazine: RIT's journal of art and literature 1998-1999 (1999)

Hanna, Katie, Bains, Himani, Shaw, Lindsay, Mackenzie, Graham, Diffenderfer, Bob, Hill, James, ...

Signatures Magazine is an RIT student publication, featuring student works of art and literature.Issued annually each spring. Editorial Board: Graham Arthur Mackenzie, Antonio Maria D. Chiarenza

Genetic evidence of an inverse relationship between dispersal and territorial group size among mainland populations of the Australian magpie (1999)

Baker, Andrew.

Presented to the Centre for Molecular Biotechnology, School of Life Science, Queensland University of Technology. Includes bibliographical references (p. 89-122)

An undergraduate approach to Lie theory (1999)

Andrew Baker

11.66> U fi ) is a diffeomorphism. 1 Slide 3 U ff " U fi f fi && N N N N N N N N N N N f ff (U ff " U fi ) f \Gamma1 ff 88 p p p p p p p p p p p f fi ffif \Gamma1 ff // f fi (U...

Hecke operations and the Adams E2-term based on elliptic cohomology (1999)

Andrew Baker

�������� � Hecke operators are used to investigate part of the E2-term of the Adams spectral sequence based on elliptic homology. The main result is a derivation of Ext 1 which...

Hecke Algebras Acting on Elliptic Cohomology (1998)

Andrew Baker

this article is to give an introduction to these stable operation algebras, in particular explaining the connections with Hecke algebras and Morava stabilizer algebras; further details will appear in...

Vertex Operators in Algebraic Topology (1998)

Andrew Baker

This paper is intended for two rather different audiences. First we aim to provide algebraic topologists with a timely introduction to some of the algebraic ideas associated with vertex operator...

Arithmetic Invariants and Periodicity in Stable Homotopy Theory (1998)

Andrew Baker

F53.56> f 1 ' f 2 : X 0 \Gamma! X and g 1 ' g 2 : Y \Gamma! Y 0 , the induced maps satisfy f 1 = f 2 : [X; Y ] \Gamma! [X 0 ; Y ]; g 1 = g 2 : [X; Y ] \Gamma! [X; Y 0 ]: The smash...

Isogenies Of Elliptic Curves And Operations In Elliptic Cohomology (1998)

Andrew Baker, Andrew Baker Glasgow, Under Which

(E)\Omega k have regular sections. A rule which assigns to each equivalence class of oriented elliptic curves (E ; !) a section F (E ; !) of\Omega 1 (E)\Omega k is called a modular form of weight k...

Cogroupoids, Hopf algebroids and cohomology (1998)

Andrew Baker

35.88> / \Gamma\Gamma\Gamma\Gamma! H\Omega H Ø\Omega I ? ? y ? ? y j" ? ? y I\Omega Ø H\Omega H \Gamma\Gamma\Gamma\Gamma! ' H /\Gamma\Gamma\Gamma\Gamma ' H\Omega H These are...

A Supersingular Congruence For Modular Forms (1998)

Andrew Baker

Let p ? 3 be a prime. In the ring of modular forms with q-expansions defined over Z (p) , the Eisenstein function Ep+1 is shown to satisfy (Ep+1) p\Gamma1 j \Gamma ` \Gamma1 p ' \Delta (p 2...

A supersingular congruence for modular forms (1998)

Andrew Baker

Abstract. Let p> 3 be a prime. In the ring of modular forms with q-expansions defined over Z(p), the Eisenstein function Ep+1 is shown to satisfy (Ep+1) p−1 ≡ −�−1 p � ∆ (p2 −1)/12...

Arithmetic Invariants and Periodicity in Stable Homotopy Theory (1998)

Andrew Baker

eories and the Adams spectral sequence A homology theory on finite CW complexes is a covariant functor ( ) for which f g : X Y induce f = g : E and there are Mayer--Vietoris sequences for...

Invariants For Finite Dimensional Groups In Vertex Operator Algebras Associated To Basic Representations Of Affine Algebras (1997)

Andrew Baker, Hirotaka Tamanoi

Introduction. Vertex operator algebras have been the focus of considerable attention from various viewpoints and for numerous reasons relating to their appearance in diverse parts of mathematics....

On The Adams E_2-Term for Elliptic Cohomology (1997)

Andrew Baker

this paper was circulated we became aware of the preprint of Hovey and Sadofsky [10] in which a result similar to our Proposition 3.2 appears together with a disguised form of our Theorem 7.3. It...

Exotic Multiplications On Morava K-Theories And Their Liftings (1997)

Andrew Baker

. For each prime p and integer n satisfying 0 ! n ! 1, there is a ring spectrum K(n) called the n th Morava K--theory at p. We discuss exotic multiplications upon K(n) and their liftings to certain...

On the Adams E_2-term for elliptic cohomology (1997)

Andrew Baker

We investigate the E 2 -term of Adams spectral sequence based on elliptic homology. The main results describe this E 2 -term from a `chromatic' perspective. At a prime p > 3, the Bousfield...

A Version of Landweber's Filtration Theorem for v_n-Periodic Hopf Algebroids (1996)

Andrew Baker

this paper we investigate the situation for some periodic Hopf algebroids which play an important role in algebraic topology. These are associated to Noetherian completions of the spectra E(n) of...

Bockstein Operations In Morava K-Theories (1995)

Andrew Baker, Urs Würgler

this paper we give a construction for families of operations reminiscent of the classical Bockstein operations in ordinary mod p cohomology which is related both to the formal group theoretic...

Elliptic Genera of Level N and Elliptic Cohomology (1995)

Andrew Baker

. Elliptic genera of level N have been defined by F. Hirzebruch, generalising the earlier notion of elliptic genus due to S. Ochanine. We show that there are corresponding elliptic cohomology...

Some Calculations With Milnor Hypersurfaces And An Application To Ginzburg's Symplectic Bordism Ring (1995)

Andrew Baker

Introduction In this note we present some formulae in complex bordism associated to Milnor hypersurfaces which we then apply to prove the surjectivity of a certain homomorphism oe :\Omega Symp...

A Version of Landweber's Filtration Theorem for ...-Periodic Hopf Algebroids (1995)

Andrew Baker

this paper we investigate the situation for some periodic Hopf algebroids which play an important role in algebraic topology. These are associated to Noetherian completions of the spectra E(n) of...

Differential Equations In Divided Power Algebras, Recurrence Relations And Formal Groups (1995)

Andrew Baker

These notes are intended to provide an account of the study of certain classes of differential equations in divided power algebras over commutative rings with unity. As a particular example, we have...

Operations and cooperations in elliptic cohomology, Part I: Generalized modular forms and the cooperation algebra (1995)

Andrew Baker

Abstract. This is the first of two interconnected parts: Part I contains the geometric theory of generalized modular forms and their connections with the cooperation algebra for elliptic cohomology,...

A infinity Structures On Some Spectra Related To Morava K-Theories (1994)

Andrew Baker

. Let p denote an odd prime. We show that the spectrum [ E(n), the In -adic completion of Johnson and Wilson's E(n), admits a unique topological A1 structure compatible with its canonical ring...

Some Chromatic Phenomena In The Homotopy Of ... (1994)

Andrew Baker

this paper, we derive formulae in Brown-Peterson homology at the prime 2 related to the family of elements 'n 2 MSp 8n\Gamma3 of N. Ray, whose central role in the structure of MSp has been...

Hecke Operators As Operations In Elliptic Cohomology (1991)

Andrew Baker, Tn E

We construct stable operations Tn : E" ( ) \Gamma! E"(1=n) ( ) for n ? 0 in the version of elliptic cohomology where the coefficient ring E" agrees with the ring of modular forms for...

Exotic Multiplications On Morava (1991)

Theories And Their, Andrew Baker

. For each prime p and integer n satisfying 0 ! n ! 1, there is a ring spectrum K(n) called the n th Morava K-theory at p. We discuss exotic multiplications upon K(n) and their liftings to certain...

structures on some spectra related to Morava K-theories (1991)

Andrew Baker

�������� � Let p denote an odd prime. We show that the spectrum � E(n), the In-adic completion of Johnson and Wilson’s E(n), admits a unique topological A ∞ structure...

Exotic multiplications on Morava K-theories and their liftings, Astérisque 191 (1991)

Andrew Baker

�������� � For each prime p and integer n satisfying 0 < n < ∞, there is a ring spectrum K(n) called the n th Morava K-theory at p. We discuss exotic multiplications upon...

On the Homotopy Type of the Spectrum Representing Elliptic Cohomology (1989)

Andrew Baker

. In this paper we analyse the homotopy type at primes p ? 3 of the ring spectrum E" representing a version of elliptic cohomology whose coefficient ring E" agrees with the ring of modular...

Elliptic cohomology, p-adic modular forms and Atkin's operator Up (1989)

Andrew Baker

ABSTRACT We construct a p-adic version of Elliptic Cohomology whose coefficient ring agrees with Serre’s ring of p-adic modular forms. We then construct a stable operation � Up in this theory...

On the homotopy type of the spectrum representing elliptic cohomology (1989)

Andrew Baker

�������� � In this paper we analyse the homotopy type at primes p> 3 of the ring spectrum Eℓℓ representing a version of elliptic cohomology whose coefficient ring Eℓℓ∗...

Loss or Inhibition of uPA or MMP-9 Attenuates LV Remodeling and Dysfunction after Acute Pressure Overload in Mice

Heymans, Stephane, Lupu, Florea, Terclavers, Sven, Vanwetswinkel, Bjorn, Herbert, Jean-Marc, Baker, Andrew, ...

Left ventricular (LV) hypertrophy is a natural response of the heart to increased pressure loading, but accompanying fibrosis and dilatation may result in irreversible life-threatening heart failure....

Brave New Hopf Algebroids And Extensions Of Mu-Algebras

Andrew Baker, Alain Jeanneret

this paper we will meet important examples. 2. Some examples

Structures On Some Spectra Related To Morava K-Theories

Andrew Baker

. Let p denote an odd prime. We show that the spectrum [ E(n), the In -adic completion of Johnson and Wilson's E(n), admits a unique topological A1 structure compatible with its canonical ring...

Isogenies Of Supersingular Elliptic Curves Over Finite Fields And Operations In Elliptic Cohomology

Andrew Baker

. In this paper we investigate stable operations in supersingular elliptic cohomology using isogenies of supersingular elliptic curves over finite fields. Our main results provide a framework in...

A Supersingular Congruence for Modular Forms

Andrew Baker

. Let p ? 3 be a prime. In the ring of modular forms with q-expansions defined over Z (p) , the Eisenstein function Ep+1 is shown to satisfy (Ep+1 ) p\Gamma1 j \Gamma ` \Gamma1 p ' \Delta (p 2...

Hecke Algebras Acting on Elliptic Cohomology

Andrew Baker

this article is to give an introduction to these stable operation algebras, in particular explaining the connections with Hecke algebras and Morava stabilizer algebras; further details will appear in...

In Vitro and In Vivo Properties of Adenovirus Vectors with Increased Affinity to CD46▿

Wang, Hongjie, Liu, Ying, Li, ZongYi, Tuve, Sebastian, Stone, Daniel, Kalyushniy, Oleksandr, ...

Gene transfer vectors containing adenovirus (Ad) serotype 35 (Ad35) fibers have shown promise for cancer and stem cell gene therapy. In this study, we attempted to improve the in vitro and in vivo...